Home / 468,407,011,180.17-646,163,780,017.35-305,921,768,473.44

Finding the Fourth Proportional to 468,407,011,180.17, 646,163,780,017.35 and 305,921,768,473.44

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Solution

The fourth proportional to 468,407,011,180.17, 646,163,780,017.35 and 305,921,768,473.44 is: 422,016,668,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,407,011,180.17 : 646,163,780,017.35 = 305,921,768,473.44 : x
  2. Step 2: Convert to fraction form
    468,407,011,180.17/646,163,780,017.35 = 305,921,768,473.44/x
  3. Step 3: Cross multiply
    468,407,011,180.17x = 646,163,780,017.35 × 305,921,768,473.44
  4. Step 4: Simplify right side
    468,407,011,180.17x = 197,675,566,306,390,540,550,144
  5. Step 5: Solve for x
    x = 197,675,566,306,390,540,550,144/468,407,011,180.17
  6. Step 6: Final answer
    x = 422,016,668,384.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.